101310 has 32 divisors (see below), whose sum is σ = 266112. Its totient is φ = 24480.

The previous prime is 101293. The next prime is 101323. The reversal of 101310 is 13101.

101310 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×101310² = 20527432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2¹⁰¹³¹⁰ is an apocalyptic number.

101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056).

101310 is an abundant number, since it is smaller than the sum of its proper divisors (164802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101310 is a wasteful number, since it uses less digits than its factorization.

101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 101310 is about 318.2923184747. The cubic root of 101310 is about 46.6176923861.

Adding to 101310 its reverse (13101), we get a palindrome (114411).

Subtracting from 101310 its reverse (13101), we obtain a square (88209 = 297²).

The spelling of 101310 in words is "one hundred one thousand, three hundred ten", and thus it is an iban number.